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Symbol Substitution Worksheet

Logical reasoning lesson 26: Symbol substitution · Set 187 · 40 questions
TalentJR

How to think it through (Swap, then BODMAS): Rewrite the sum, swapping every sign for what it means. BODMAS: do × and ÷ first, from left to right. Then do + and −, from left to right.

NameDateTime takenScore ___ / 40
  1. 1.If + means ×, − means ÷, × means + and ÷ means −, what is 3 + 4 × 6 ÷ 4?
  2. 2.If + means ×, − means ÷, × means − and ÷ means +, what is 6 ÷ 11 + 17 − 17?
  3. 3.If + means −, − means ×, × means ÷ and ÷ means +, what is 5 − 12 × 3 + 8?
  4. 4.If + means −, − means +, × means ÷ and ÷ means ×, what is 6 ÷ 7 − 14 + 16?
  5. 5.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 + 20 − 4 × 8?
  6. 6.If + means −, − means +, × means ÷ and ÷ means ×, what is 15 ÷ 4 × 12 − 3?
  7. 7.If + means ×, − means +, × means ÷ and ÷ means −, what is 13 ÷ 14 − 3 + 20?
  8. 8.If + means ÷, − means ×, × means + and ÷ means −, what is 17 ÷ 9 × 12 − 17?
  9. 9.If + means ×, − means +, × means ÷ and ÷ means −, what is 3 + 10 − 6 ÷ 2?
  10. 10.If + means ×, − means ÷, × means − and ÷ means +, what is 5 × 17 ÷ 17 + 8?
  11. 11.If + means ×, − means ÷, × means + and ÷ means −, what is 20 ÷ 5 + 5 × 13?
  12. 12.If + means ÷, − means ×, × means + and ÷ means −, what is 14 ÷ 10 + 5 − 3?
  13. 13.If + means −, − means +, × means ÷ and ÷ means ×, what is 14 × 7 ÷ 13 − 17?
  14. 14.If + means −, − means ÷, × means + and ÷ means ×, what is 20 ÷ 7 − 14 + 7?
  15. 15.If + means ×, − means +, × means ÷ and ÷ means −, what is 17 + 10 × 2 ÷ 9?
  16. 16.If + means ÷, − means ×, × means − and ÷ means +, what is 14 ÷ 4 − 8 × 5?
  17. 17.If + means −, − means ÷, × means + and ÷ means ×, what is 14 + 16 × 16 ÷ 6?
  18. 18.If + means −, − means ×, × means ÷ and ÷ means +, what is 12 ÷ 5 − 6 + 11?
  19. 19.If + means −, − means +, × means ÷ and ÷ means ×, what is 16 − 17 × 17 + 13?
  20. 20.If + means ÷, − means ×, × means + and ÷ means −, what is 8 − 19 ÷ 10 × 4?
  21. 21.If + means ÷, − means ×, × means − and ÷ means +, what is 20 − 17 + 10 ÷ 19?
  22. 22.If + means ÷, − means ×, × means − and ÷ means +, what is 10 ÷ 5 + 5 × 7?
  23. 23.If + means ÷, − means ×, × means + and ÷ means −, what is 11 × 9 − 4 ÷ 15?
  24. 24.If + means −, − means ×, × means ÷ and ÷ means +, what is 2 ÷ 8 − 9 × 18?
  25. 25.If + means −, − means ÷, × means + and ÷ means ×, what is 9 × 14 ÷ 15 + 19?
  26. 26.If + means ÷, − means ×, × means + and ÷ means −, what is 16 + 8 × 12 − 16?
  27. 27.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 16 − 6 + 12?
  28. 28.If + means ÷, − means ×, × means − and ÷ means +, what is 5 + 5 ÷ 18 − 12?
  29. 29.If + means −, − means ×, × means ÷ and ÷ means +, what is 15 − 9 + 3 ÷ 2?
  30. 30.If + means −, − means ÷, × means + and ÷ means ×, what is 18 ÷ 4 + 16 × 6?
  31. 31.If + means ÷, − means ×, × means + and ÷ means −, what is 4 × 8 − 18 ÷ 3?
  32. 32.If + means ÷, − means ×, × means − and ÷ means +, what is 6 ÷ 12 − 2 + 3?
  33. 33.If + means −, − means ×, × means ÷ and ÷ means +, what is 11 ÷ 20 − 16 + 6?
  34. 34.If + means ×, − means ÷, × means − and ÷ means +, what is 19 × 4 + 4 ÷ 13?
  35. 35.If + means ÷, − means +, × means − and ÷ means ×, what is 17 − 6 ÷ 18 + 9?
  36. 36.If + means −, − means ÷, × means + and ÷ means ×, what is 6 + 7 × 18 ÷ 8?
  37. 37.If + means −, − means +, × means ÷ and ÷ means ×, what is 17 − 4 ÷ 16 + 20?
  38. 38.If + means ×, − means +, × means ÷ and ÷ means −, what is 6 − 12 + 4 ÷ 5?
  39. 39.If + means −, − means ×, × means ÷ and ÷ means +, what is 19 ÷ 4 × 4 − 5?
  40. 40.If + means −, − means ×, × means ÷ and ÷ means +, what is 14 − 8 ÷ 19 + 2?

Answer key

  1. 14
  2. 17
  3. 12
  4. 40
  5. 9
  6. 8
  7. 59
  8. 212
  9. 34
  10. 124
  11. 8
  12. 8
  13. 43
  14. 3
  15. 76
  16. 41
  17. 94
  18. 31
  19. 4
  20. 146
  21. 53
  22. 4
  23. 32
  24. 6
  25. 200
  26. 194
  27. 103
  28. 217
  29. 134
  30. 62
  31. 145
  32. 14
  33. 325
  34. 16
  35. 29
  36. 143
  37. 61
  38. 49
  39. 24
  40. 129

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